Characterizations of semi-prequasi-invexity

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	Characterizations of semi-prequasi-invexity
其他题名	CHARACTERIZATIONS OF SEMI-PREQUASI-INVEXITY
	Zhao Yingxue 1; Meng Xiaoge 2; Qiao Han 3; Wang Shouyang 4; Coladas Uria Luis 5
	2014
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	27 期号:5 页码:1008-1026
摘要	Because of its importance in optimization theory, the concept of convexity has been generalized in various ways. With these generalizations, to seek some practical criteria for them is especially important. In this paper, some criteria are developed for semi-prequasi-invexity, which includes prequasi-invexity as the special case. Mutual characterizations among semi-prequasi-invex functions, strictly semi-prequasi-invex functions, and strongly semi-prequasi-invex functions are presented.
其他摘要	Because of its importance in optimization theory,the concept of convexity has been generalized in various ways.With these generalizations,to seek some practical criteria for them is especially important.In this paper,some criteria are developed for semi-prequasi-invexity,which includes prequasi-invexity as the special case.Mutual characterizations among semi-prequasi-invex functions,strictly semi-prequasi-invex functions,and strongly semi-prequasi-invex functions are presented.
关键词	PREINVEX FUNCTIONS GENERALIZED CONVEXITY SETS Convex programming dense semi-prequasi-invex function strictly semi-prequasi-invex function strongly semi-prequasi-invex function
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [National Social Science Foundation of China] ; [Shanghai Municipal Natural Science Foundation] ; [China Postdoctoral Science Foundation] ; [Science Foundation of Ministry of Education of China] ; [Doctoral Fund of Ministry of Education of China]
CSCD记录号	CSCD:5314381
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/54603
专题	中国科学院数学与系统科学研究院
作者单位	1.University Int Business & Econ, Sch Int Trade & Econ, Beijing 100029, Peoples R China 2.Beijing University Aeronaut & Astronaut, Sch Econ & Management, Beijing 100191, Peoples R China 3.中国科学院大学 4.中国科学院数学与系统科学研究院 5.University Santiago de Compostela, Fac Math, Dept Stat & Operat Res, Santiago De Compostela 15782, Spain
推荐引用方式 GB/T 7714	Zhao Yingxue,Meng Xiaoge,Qiao Han,et al. Characterizations of semi-prequasi-invexity[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2014,27(5):1008-1026.
APA	Zhao Yingxue,Meng Xiaoge,Qiao Han,Wang Shouyang,&Coladas Uria Luis.(2014).Characterizations of semi-prequasi-invexity.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,27(5),1008-1026.
MLA	Zhao Yingxue,et al."Characterizations of semi-prequasi-invexity".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 27.5(2014):1008-1026.